Maintaining data consistency in a memory sub-system that uses hybrid wear leveling operations

A processing device in a memory sub-system maintains a mapping data structure to track data movements from a plurality of data management units associated with a media management operation on a memory device. The processing device further uses a first indicator and a second indicator of a plurality of indicators to indicate which data of data management units of a source group of data management units have been copied to a destination group of data management units during the media management operation. Data located in data management units preceding the first indicator have been copied to data management units of the destination group of data management units. Data located in data management units associated with the first indicator and the second indicator or between the first indicator and the second indicator are either copied to data management units of the destination group of data management units or remain located in data management units of the source group of data management units. Data located in data management units subsequent to the second indicator remain located in data management units of the source group of data management units and have not been copied to the destination group of data management units.